How to find quotient of two functions with constraint

The video tutorial explains the process of working with the function F of G of X, focusing on dividing F of X by G of X. It discusses the inability to simplify the expression further and emphasizes the importance of identifying constraints, particularly when the denominator can become zero. The tutorial demonstrates solving for X to find these constraints and concludes with a recap of the key points.

What is the initial step when dividing two functions, F(x) and G(x)?

• Multiply the functions

• Divide the functions

• Add the functions

• Subtract the functions

Why can't the division of F(x) by G(x) be simplified further in this context?

• Because the functions are not defined

• Because the terms cannot be separated or canceled out

• Because the functions are already in their simplest form

• Because the functions are equal

What is the constraint that must be considered when dividing by a function?

• The numerator must be greater than the denominator

• The numerator must be zero

• The denominator must be greater than the numerator

• The denominator must not be zero

What value of X makes the denominator zero in the given function division?

• X = 2

• X = 0

• X = 1

• X = -1

Why is it important to write the constraint that X cannot equal 1?

• To ensure the numerator is zero

• To avoid division by zero

• To simplify the function

• To make the function equal to zero